Structural calculator

Mohr's Circle Calculator

Transform 2D stress state into principal stress values.

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Calculator

Enter structural values

Select units beside each input. Results update automatically.

Structural

Result

About this calculator

How it works

Mohr circle gives principal stresses, maximum in-plane shear, center, and radius for a plane stress state.

Formulas

Formulas used

Center

C = (sx + sy) / 2

Radius

R = sqrt(((sx - sy)/2)^2 + txy^2)

Principal stresses

s1,s2 = C +/- R

Worked example

Example calculation

Principal stress

sx=80 MPa, sy=20 MPa, txy=30 MPa gives s1=92.4 MPa

Guide

How to use this calculator

Enter the relevant load, stress, geometry, material, or member values.
Select units beside each input where unit menus are shown.
Use the highlighted result for screening, then check assumptions before design use.

Reference

What the results mean

Principal stresses

Normal stresses where shear stress is zero.

Maximum shear

Mohr circle radius.

Assumptions and limits

Before using the result

These are simplified elastic or empirical checks for early-stage engineering review.
Final structural design requires correct boundary conditions, load paths, code checks, material data, factors of safety, and professional review.
Complex tools here provide key values or simplified estimates rather than a full structural analysis model.

FAQ